Investigation of symmetry breaking in periodic gravity-capillary waves
文献类型:期刊论文
作者 | Gao T; Wang Z; Vanden-Broeck JM |
刊名 | JOURNAL OF FLUID MECHANICS
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出版日期 | 2017 |
卷号 | 811页码:622-641 |
通讯作者邮箱 | z.wang5@bath.ac.uk |
关键词 | capillary waves surface gravity waves waves/free-surface flows |
ISSN号 | 0022-1120 |
产权排序 | [Gao, T.; Vanden-Broeck, J. -M.] UCL, Dept Math, London WC1E 6BT, England; [Wang, Z.] Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing, Peoples R China; [Wang, Z.] Univ Chinese Acad Sci, Sch Engn Sci, Beijing 110049, Peoples R China |
通讯作者 | Wang, Z (reprint author), Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing, Peoples R China. ; Wang, Z (reprint author), Univ Chinese Acad Sci, Sch Engn Sci, Beijing 110049, Peoples R China. |
中文摘要 | In this paper, fully nonlinear non-symmetric periodic gravity capillary waves propagating at the surface of an inviscid and incompressible fluid are investigated. This problem was pioneered analytically by 7ufiria (J. Fluid Mech., vol. 184, 1987c, pp. 183-206) and numerically by Shimizu & Shoji (Japan J. Ind, Appl. Maths, vol. 29 (2), 2012, pp. 331-353). We use a numerical method based on conformal mapping and series truncation to search for new solutions other than those shown in Zufiria (1987c) and Shimizu & Shoji (2012). It is found that, in the case of infinite-depth, non-symmetric waves with two to seven peaks within one wavelength exist and they all appear via symmetry-breaking bifurcations. Fully exploring these waves by changing the parameters yields the discovery of new types of non-symmetric solutions which form isolated branches without symmetry-breaking points. The existence of non-symmetric waves in water of finite depth is also confirmed, by using the value of the streamfunction at the bottom as the continuation parameter. |
分类号 | 一类 |
类目[WOS] | Mechanics ; Physics, Fluids & Plasmas |
研究领域[WOS] | Mechanics ; Physics |
关键词[WOS] | capillary waves ; surface gravity waves ; waves/free-surface flows |
收录类别 | SCI ; EI |
原文出处 | http://dx.doi.org/10.1017/jfm.2016.751 |
语种 | 英语 |
WOS记录号 | WOS:000390352200031 |
源URL | [http://dspace.imech.ac.cn/handle/311007/59976] ![]() |
专题 | 力学研究所_流固耦合系统力学重点实验室(2012-) |
推荐引用方式 GB/T 7714 | Gao T,Wang Z,Vanden-Broeck JM. Investigation of symmetry breaking in periodic gravity-capillary waves[J]. JOURNAL OF FLUID MECHANICS,2017,811:622-641. |
APA | Gao T,Wang Z,&Vanden-Broeck JM.(2017).Investigation of symmetry breaking in periodic gravity-capillary waves.JOURNAL OF FLUID MECHANICS,811,622-641. |
MLA | Gao T,et al."Investigation of symmetry breaking in periodic gravity-capillary waves".JOURNAL OF FLUID MECHANICS 811(2017):622-641. |
入库方式: OAI收割
来源:力学研究所
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